{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1caed995",
   "metadata": {},
   "source": [
    "# 三角形窗"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "548ae741",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#导入使用的库\n",
    "import numpy as np\n",
    "from scipy import signal,fft\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MaxNLocator\n",
    "\n",
    "#计算三角形窗的wn值和幅度响应\n",
    "N = 51 #三角形窗长度\n",
    "wn = signal.windows.bartlett(N) #三角形窗的wn值\n",
    "N0 = 2048;N1 = int(N0/2)\n",
    "Ha = np.abs(fft.fft(wn,N0))+1e-10;Ha = Ha/np.max(Ha)\n",
    "Ar = 20*np.log10(Ha);freq = np.linspace(0,1,N1)\n",
    "\n",
    "#绘制三角形窗\n",
    "fig,ax = plt.subplots();ax.stem(wn,basefmt=\"\")\n",
    "ax.set_title('三角形窗');ax.set_xlabel('n');ax.set_ylim([0,1.5])\n",
    "plt.rcParams['font.sans-serif']=['SimHei'] #用来正常显示中文标签\n",
    "fig.savefig('./win_tri1.png',dpi=500)\n",
    "\n",
    "#绘制三角形窗的幅度响应\n",
    "fig,ax = plt.subplots();ax.plot(freq,Ar[:N1]);ax.grid()\n",
    "ax.set_title('三角形窗的幅度响应');ax.set_xlabel('k')\n",
    "ax.set_xlabel(r'$ \\omega / \\pi $')\n",
    "ax.set_ylabel(r'$ 20log_{10}| H ( \\omega ) | $')\n",
    "ax.set_xlim([0,1]);ax.set_ylim([-100,1])\n",
    "ax.xaxis.set_major_locator(MaxNLocator(11))\n",
    "ax.yaxis.set_major_locator(MaxNLocator(11))\n",
    "plt.rcParams['axes.unicode_minus'] = False #用来显示负号\n",
    "fig.savefig('./win_tri2.png',dpi=500)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4d687d7f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
